I've had good results using Mean Green and 0000 steel wool to scrub the outside of the cabinet, and quickly wiping it down in sections with paper towels before the cleaner soaks in or drys. Also spray and wipe the harness as well, using compressed air to dry any connectors..
Take that monitor to the car wash, soak it down with Dow Scrubbing Bubbles and Mean Green, and hose it off. Pull the chassis and let it sit over a furnace vent for a couple days before powering it on.
For the inside of the cabinet, I use a Shop Vac attached to the dust port on a 6" DeWalt Orbital Disc Sander, and 120 grit paper. Freshly sanded wood with the dust removed will also help eliminate the smell. Sand the entire insides of the cabinet with the vacuum drawing through the dust collection port, and don't forget to sand the bottom of the cab as well. You'll have a fresh wood surface and will hopefully not smell like anything besides wood.